Proof CONIC_SUBROUTINES
This commit is contained in:
parent
2e30258105
commit
f7f8dbc625
@ -41,7 +41,7 @@
|
||||
# RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE. THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
|
||||
# INVOLVING ANY REALISTIC SET OF CONSTRAINTS. IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
|
||||
# EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
|
||||
# THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINES IN MISSION PROGRAMMING
|
||||
# THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
|
||||
# DEFINITION MEMO NO. 10. THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROUTINES
|
||||
# APPROPRIATELY.
|
||||
#
|
||||
@ -77,8 +77,8 @@
|
||||
# IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
|
||||
# EXTRAPOLATING THE POSITION BACKWARD IN TIME.
|
||||
#
|
||||
# IF THE ABSOLUTE VALUE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
|
||||
# MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME AS USUAL.
|
||||
# IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
|
||||
# MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
|
||||
#
|
||||
# THE RESTRICTIONS ARE --
|
||||
# 1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
|
||||
@ -86,7 +86,7 @@
|
||||
# ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
|
||||
#
|
||||
# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
|
||||
# GUESS, XKFPNEW. THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
|
||||
# GUESS, XKEPNEW. THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
|
||||
# FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
|
||||
#
|
||||
# REFERENCES --
|
||||
@ -126,7 +126,7 @@
|
||||
# THE INTERRUPTED JOB. THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
|
||||
# ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
|
||||
#
|
||||
# ABORT EXIT MODE --
|
||||
# ABORT EXIT MODES --
|
||||
# NONE
|
||||
#
|
||||
# OUTPUT --
|
||||
@ -151,13 +151,13 @@
|
||||
# URRECT +1 DP UNIT VECTOR OF INITIAL POSITION
|
||||
# R1 +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION IN METERS
|
||||
# +27 FOR MOON
|
||||
# ALPHA -22 FOR EARTH DP INVERSE OF SEMI-MAJOR AXIS IN 1/METERS
|
||||
# ALPHA -22 FOR EARTH DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
|
||||
# -20 FOR MOON
|
||||
# TMODULO +28 DP INTEGRAL NUMBER OF PERIODS IN CENTISECS, WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
|
||||
# TAU. OF LESS THAN ONE PERIOD.
|
||||
#
|
||||
# PARAMETERS OF NO USE --
|
||||
# DP PARAMETERS -- FPSILENT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
|
||||
# DP PARAMETERS -- EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
|
||||
|
||||
# Page 1266
|
||||
# PROGRAM DESCRIPTION -- LAMBERT SUBROUTINE DATE -- 1 SEPTEMBER 1967
|
||||
@ -181,7 +181,7 @@
|
||||
# 5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP. IF THE
|
||||
# LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
|
||||
#
|
||||
# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION'S SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
|
||||
# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
|
||||
# GUESS OF THE INDEPENDENT VARIABLE, COGA. THE AGC COMPUTATION TIME IS APPROXIMATELY
|
||||
# .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
|
||||
#
|
||||
@ -204,13 +204,13 @@
|
||||
# GUESSW NONE AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF
|
||||
# Page 1267
|
||||
# COGA IS TO BE USED BY LAMBERT
|
||||
# COGA +5 DP GUESS OF COTANGENT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL). THIS WILL BE
|
||||
# COGA +5 DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL). THIS WILL BE
|
||||
# IGNORED IF GUESSW IS SET.
|
||||
# NORMSW NONE AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
|
||||
# LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
|
||||
# UN +1 DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
|
||||
# MOMENTUM VECTOR. THIS WILL BE IGNORED IF NORMSW IS CLEAR.
|
||||
# VTARGTAG NONE A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY OF R2VEC AS WELL AS
|
||||
# VTARGTAG NONE A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
|
||||
# AT R1VEC.
|
||||
#
|
||||
# SUBROUTINES CALLED --
|
||||
@ -224,16 +224,16 @@
|
||||
# L+3 SOLNSW
|
||||
# L+4 LAMABORT
|
||||
#
|
||||
# IF A LAMBER RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
|
||||
# IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
|
||||
# GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
|
||||
#
|
||||
# ABORT EXIT MODES --
|
||||
# IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
|
||||
# WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2FEC. IN EITHER CASE THE FIX MUST BE MADE
|
||||
# WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC. IN EITHER CASE THE FIX MUST BE MADE
|
||||
# ACCORDING TO THE NEEDS OF THE PARTICULAR USER. THE ABORT EXIT MODE MAY BE CODED AS ...
|
||||
# LAMBERT DLOAD ABS # A MEASURE OF THE PROXIMITY TO 0 OR
|
||||
# 1-CHTH # 360 DEGREES.
|
||||
# DSU BWM
|
||||
# 1-CSTH # 360 DEGREES.
|
||||
# DSU BMN
|
||||
# ONEBIT
|
||||
# CHANGER2 # CHANGE R2VEC DIRECTION SLIGHTLY.
|
||||
# DLOAD DAD
|
||||
@ -266,7 +266,7 @@
|
||||
# 1-CSTH +2 DP 1-CSTH
|
||||
# COGA +5 DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
|
||||
# P +4 DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
|
||||
# R1A +6 DP RATIO OF INITIAL RADIUS TO SEMI-MAJOR AXIS
|
||||
# R1A +6 DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
|
||||
# R1 (32D) +29 FOR EARTH DP INITIAL RADIUS IN METERS
|
||||
# +27 FOR MOON
|
||||
# UR1 +1 DP UNIT VECTOR OF R1VEC
|
||||
@ -292,7 +292,7 @@
|
||||
# THE RESTRICTIONS ARE --
|
||||
# 1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
|
||||
# AND LESS THAN 178 DEGREES 12.5 MINUTES.
|
||||
# 2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSCP. IF THE LIMITS
|
||||
# 2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP. IF THE LIMITS
|
||||
# ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
|
||||
#
|
||||
# THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
|
||||
@ -308,7 +308,7 @@
|
||||
# +27 FOR MOON
|
||||
# VVEC +7 FOR EARTH DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
|
||||
# +5 FOR MOON
|
||||
# SNTH +1 ` DP SINE OF THE TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
|
||||
# SNTH +1 DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
|
||||
# CSTH +1 DP COSINE OF THE ANGLE
|
||||
# RVSW NONE AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
|
||||
# IS TO BE COMPUTED ALSO.
|
||||
@ -333,7 +333,7 @@
|
||||
# # THE INITIAL VELOCITY VECTOR IN MPAC.
|
||||
# L+3 STOVL NEWVVEC
|
||||
# L+4 STADR
|
||||
# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USER'S LOCATIONS.
|
||||
# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
|
||||
# L+6 ... # CONTINUE.
|
||||
#
|
||||
# ABORT EXIT MODES --
|
||||
@ -366,7 +366,7 @@
|
||||
# -------- -------------- -----------------------
|
||||
# R1 (32D) +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
|
||||
# +27 FOR MOON
|
||||
# R1A +6 DP RATIO OF R1 TO SEMI-MAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
|
||||
# R1A +6 DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
|
||||
# P +4 DP RATIO OF SEMILATUS RECTUM TO R1
|
||||
# COGA +5 DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
|
||||
# UR1 +1 DP UNIT VECTOR OF RVEC
|
||||
@ -443,7 +443,7 @@
|
||||
# # THE INITIAL VELOCITY VECTOR IN MPAC.
|
||||
# L+3 STOVL NEWVVEC
|
||||
# L+4 STADR
|
||||
# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USER'S LOCATIONS.
|
||||
# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
|
||||
# L+6 ... # CONTINUE
|
||||
#
|
||||
# ABORT EXIT MODES --
|
||||
@ -483,7 +483,7 @@
|
||||
# -------- -------------- -----------------------
|
||||
# R1 (32D) +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
|
||||
# +27 FOR MOON
|
||||
# R1A +6 DP RATIO OF R1 TO SEMI-MAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
|
||||
# R1A +6 DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
|
||||
# P +4 DP RATIO OF SEMILATUS RECTUM TO R1
|
||||
# COGA +5 DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
|
||||
# UR1 +1 DP UNIT VECTOR OF RVEC
|
||||
@ -493,7 +493,7 @@
|
||||
# SNTH +1 DP SINE OF TRUE ANOMALY DIFFERENCE.
|
||||
#
|
||||
# PARAMETERS OF NO USE --
|
||||
# SP PARAMETERS -- RTNTT, GEOMSGN, RTNPRM, MAGVEC2*R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
|
||||
# SP PARAMETERS -- RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
|
||||
# ADDITIONAL INTERPRETIVE SWITCHES USED -- NORMSW, 360SW
|
||||
#
|
||||
|
||||
@ -541,7 +541,7 @@
|
||||
# L+1 APSIDES # RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
|
||||
# L+2 STODL APOAPSE
|
||||
# L+3 0D
|
||||
# L+4 STORE PERIAPSE # APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USER'S LOCATIONS
|
||||
# L+4 STORE PERIAPSE # APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
|
||||
# L+5 ... # CONTINUE
|
||||
#
|
||||
# OUTPUT --
|
||||
@ -563,7 +563,7 @@
|
||||
# -------- -------------- -----------------------
|
||||
# R1 (32D) +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
|
||||
# +27 FOR MOON
|
||||
# R1A +6 DP RATIO OF R1 TO SEMI-MAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
|
||||
# R1A +6 DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
|
||||
# P +4 DP RATIO OF SEMILATUS RECTUM TO R1
|
||||
# COGA +5 DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
|
||||
# UR1 +1 DP UNIT VECTOR OF RVEC
|
||||
@ -810,7 +810,7 @@ KEPCONVG DLOAD SR4R
|
||||
T
|
||||
SL1 VXSC
|
||||
VRECT
|
||||
VSL1 VAD
|
||||
VSL1 VAD # PL AT 0
|
||||
VSL4
|
||||
STORE RCV # RCV (+29 OR +27)
|
||||
|
||||
@ -975,7 +975,7 @@ MODNGDEL DLOAD DSU # TRIAL DELINDEP WOULD EXCEED MIN BOUND
|
||||
FIRSTIME DLOAD DMP
|
||||
MIN
|
||||
TWEEKIT # DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
|
||||
PDDL DMP # S2(41D) SHOULDN'T CONTAIN HI ORDER ONES
|
||||
PDDL DMP # S2(41D) SHOULDNT CONTAIN HI ORDER ONES
|
||||
# Page 1286
|
||||
MAX
|
||||
TWEEKIT
|
||||
@ -1060,8 +1060,8 @@ LAMENTER NORM
|
||||
R2
|
||||
BDSU
|
||||
D1/256
|
||||
VXSC VAD
|
||||
VVEC # PL AT 6
|
||||
VXSC VAD # PL AT 6
|
||||
VVEC
|
||||
VSL8 RVQ
|
||||
|
||||
# Page 1288
|
||||
@ -1118,8 +1118,8 @@ TIMETHET STQ SETPD # PL AT 0
|
||||
VVEC
|
||||
CALL
|
||||
PARAM
|
||||
BOV CALL
|
||||
COGAOVFL # PL AT 0
|
||||
BOV CALL # PL AT 0
|
||||
COGAOVFL
|
||||
GETX
|
||||
COMMNOUT DLOAD BON
|
||||
XI
|
||||
@ -1349,15 +1349,15 @@ INVRSEQN DLOAD SQRT
|
||||
R1A
|
||||
DMP SR4
|
||||
34D
|
||||
TAD
|
||||
BMN SQRT # PL AT 4
|
||||
TAD # PL AT 4
|
||||
BMN SQRT
|
||||
INFINITY
|
||||
DAD # PL AT 2
|
||||
TIX,2 NORM
|
||||
1/WLOOP
|
||||
X1
|
||||
BDDV
|
||||
SLR* GOTO # PL AT 0
|
||||
BDDV # PL AT 0
|
||||
SLR* GOTO
|
||||
0 -7,1
|
||||
POLYCOEF
|
||||
|
||||
@ -1549,8 +1549,8 @@ LOENERGY SETPD DLOAD # LOW ENERGY TRAJECTORY RESULTED
|
||||
|
||||
SUFFCHEK DLOAD ABS
|
||||
TERRLAMB
|
||||
PDDL DMP
|
||||
TDESIRED # PL AT 2D
|
||||
PDDL DMP # PL AT 2D
|
||||
TDESIRED
|
||||
D1/4
|
||||
DAD DSU # PL AT 0D
|
||||
ONEBIT
|
||||
@ -1598,8 +1598,8 @@ INITV DLOAD NORM
|
||||
PDDL # XCH WITH 0D PL AT 0,6
|
||||
VXSC VSL1
|
||||
UN
|
||||
VXV VAD
|
||||
UR1 # PL AT 0
|
||||
VXV VAD # PL AT 0
|
||||
UR1
|
||||
VSL1 CLEAR
|
||||
SOLNSW
|
||||
STORE VVEC
|
||||
@ -1626,8 +1626,8 @@ TIMERAD STQ SETPD # PL AT 0
|
||||
VVEC
|
||||
CALL
|
||||
PARAM
|
||||
BOV DLOAD
|
||||
COGAOVFL # PL AT 0
|
||||
BOV DLOAD # PL AT 0
|
||||
COGAOVFL
|
||||
D1/32
|
||||
DSU DMP
|
||||
R1A
|
||||
@ -1645,7 +1645,7 @@ TIMERAD STQ SETPD # PL AT 0
|
||||
BOV
|
||||
CIRCULAR
|
||||
PDDL NORM # 0D=UNIT(ECC) (+3) PL AT 6
|
||||
RDESIRED # 35D=ECC (+3)
|
||||
RDESIRED # 36D=ECC (+3)
|
||||
X1
|
||||
PDDL DMP # PL AT 8
|
||||
R1
|
||||
@ -1826,7 +1826,7 @@ KEPC2 EQUALS 36D
|
||||
# TDESIRED ERASE +1
|
||||
# GEOMSGN ERASE +0
|
||||
# GUESSW # 0 IF COGA GUESS AVAILABLE, 1 IF NOT
|
||||
# COGA ERASE +1 # INPUT ONLY IF GUESS IS ZERO.
|
||||
# COGA ERASE +1 # INPUT ONLY IF GUESSW IS ZERO.
|
||||
# NORMSW # 0 IF UN TO BE COMPUTED, 1 IF UN INPUT
|
||||
# UN ERASE +5 # ONLY USED IF NORMSW IS 1
|
||||
# VTARGTAG ERASE +0
|
||||
@ -1865,7 +1865,7 @@ DCOGA EQUALS 12D
|
||||
# T EQUALS 30D
|
||||
# KEPC1 EQUALS 34D
|
||||
# KEPC2 EQUALS 36D
|
||||
# SLOPSW
|
||||
# SLOPESW
|
||||
# SOLNSW
|
||||
|
||||
# OTHERS --
|
||||
@ -1885,7 +1885,7 @@ DCOGA EQUALS 12D
|
||||
COSF EQUALS 24D
|
||||
|
||||
# RTNPRM ERASE +0
|
||||
# SCNRDOT ERASE +0
|
||||
# SGNRDOT ERASE +0
|
||||
# RDESIRED ERASE +1
|
||||
|
||||
|
||||
|
Loading…
Reference in New Issue
Block a user